Star exponential functions as two-valued elements

Y. Maeda, Naoya Miyazaki, H. Omori, A. Yoshioka

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)

Abstract

We propose a relatively new notion of two-valued elements, which arise naturally in constructing star exponential functions of the quadratics in the Weyl algebra over the complex number. This notion enables us to describe group-like objects of the set of star exponential functions of quadratics in the Weyl algebra.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages483-492
Number of pages10
Volume232
DOIs
Publication statusPublished - 2005

Publication series

NameProgress in Mathematics
Volume232
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Fingerprint

Weyl Algebra
Star
Complex number
Object

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

Cite this

Maeda, Y., Miyazaki, N., Omori, H., & Yoshioka, A. (2005). Star exponential functions as two-valued elements. In Progress in Mathematics (Vol. 232, pp. 483-492). (Progress in Mathematics; Vol. 232). Springer Basel. https://doi.org/10.1007/0-8176-4419-9_16

Star exponential functions as two-valued elements. / Maeda, Y.; Miyazaki, Naoya; Omori, H.; Yoshioka, A.

Progress in Mathematics. Vol. 232 Springer Basel, 2005. p. 483-492 (Progress in Mathematics; Vol. 232).

Research output: Chapter in Book/Report/Conference proceedingChapter

Maeda, Y, Miyazaki, N, Omori, H & Yoshioka, A 2005, Star exponential functions as two-valued elements. in Progress in Mathematics. vol. 232, Progress in Mathematics, vol. 232, Springer Basel, pp. 483-492. https://doi.org/10.1007/0-8176-4419-9_16
Maeda Y, Miyazaki N, Omori H, Yoshioka A. Star exponential functions as two-valued elements. In Progress in Mathematics. Vol. 232. Springer Basel. 2005. p. 483-492. (Progress in Mathematics). https://doi.org/10.1007/0-8176-4419-9_16
Maeda, Y. ; Miyazaki, Naoya ; Omori, H. ; Yoshioka, A. / Star exponential functions as two-valued elements. Progress in Mathematics. Vol. 232 Springer Basel, 2005. pp. 483-492 (Progress in Mathematics).
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